Results 121 to 130 of about 8,350 (261)

On Hyers-Ulam stability for a class of functional equations

Aequationes Mathematicae, 1997
Several strong theorems concerning the stability of the general function equation \(g(F(x,y))= H(g(x),g(y),x,y)\) are proved. Equations in a single variable like \( g(x)= S(g(B(x)),x)\) or \(g(G(x))= J(g(x),x)\) or equations of the form \(g(F(x,y))= H(g(x),g(y))\) are also studied in detail from the point of view of stability.
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Hyers-Ulam Stability of Pompeiu's Point

Kyungpook mathematical journal, 2015
In this paper, we investigate the stability of Pompeiu's points in the sense of Hyers-Ulam.
Jinghao Huang, Yongjin Li
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On the Hyers–Ulam stability of the linear differential equation

Journal of Mathematical Analysis and Applications, 2011
AbstractWe obtain some results on generalized Hyers–Ulam stability of the linear differential equation in a Banach space. As a consequence we improve some known estimates of the difference between the perturbed and the exact solutions.
Dorian Popa, Ioan Raşa
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On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
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Hyers--Ulam Stability of Mean Value Points

Annals of Functional Analysis, 2010
‎We prove the Hyers--Ulam stability of the Lagrange's mean value‎ ‎points and the Hyers--Ulam--Rassias stability of a differential‎ ‎equation derived from the equation defining the Flett's mean‎ ‎value point‎.
Găvruţă, Pasc, Jung, ‎Soon-Mo, Li, Yongjin   +2 more
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Existence and stability results for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point fractional integral boundary conditions

AIMS Mathematics
In this paper, we study the existence and uniqueness of solutions for a coupled system of Hilfer-Hadamard sequential fractional differential equations with multi-point Riemann-Liouville fractional integral boundary conditions via standard fixed point ...
Ugyen Samdrup Tshering, Ekkarath Thailert, Sotiris K. Ntouyas   +2 more
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On the Hyers-Ulam-Rassias stability of a pexiderized quadratic inequality [PDF]

, 2001
Kil-Woung Jun, Yang-Hi Lee
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Hyers-Ulam stability of the spherical functions

, 2014
In \cite{bbb} the authors obtained the Hyers-Ulam stability of the functional equation $$ \int_{K}\int_{G} f(xtk\cdot y)d (t)dk=f(x)g(y), \; x, y \in G ,$$ where $G$ is a Hausdorff locally compact topological group, $K$ is a copmact subgroup of morphisms of $G$, $ $ is a $K$-invariant complex measure with compact support, provided that the continuous
Bouikhalene, Belaid, Elhoucien, Eloqrachi   +1 more
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Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three

Open Mathematics
In this article, we study the Hyers-Ulam stability of a nonlinear partial integro-differential equation of order three, of hyperbolic type, using Bielecki norm.
Marian Daniela, Ciplea Sorina Anamaria, Lungu Nicolaie   +2 more
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THE HYERS-ULAM STABILITY OF THE QUADRATIC FUNCTIONAL EQUATIONS ON ABELIAN GROUPS [PDF]

, 2002
Jae-Hyeong Bae, Yong-Soo Jung
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